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114505543424 = 282373266401
BaseRepresentation
bin110101010100100001…
…1111110111100000000
3101221120002101022000202
41222221003332330000
53334001404342144
6124334135104332
711162361026366
oct1525103767400
9357502338022
10114505543424
114461a437618
121a2378120a8
13aa4aa9492c
145783733636
152ea292d64e
hex1aa90fef00

114505543424 has 72 divisors (see below), whose sum is σ = 241769405472. Its totient is φ = 54013132800.

The previous prime is 114505543423. The next prime is 114505543441. The reversal of 114505543424 is 424345505411.

It is a super-2 number, since 2×1145055434242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505543421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296624 + ... + 563024.

Almost surely, 2114505543424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114505543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884702736).

114505543424 is an abundant number, since it is smaller than the sum of its proper divisors (127263862048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114505543424 is an equidigital number, since it uses as much as digits as its factorization.

114505543424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266513 (or 266499 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 114505543424 in words is "one hundred fourteen billion, five hundred five million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 584 736 1168 1472 1679 2336 2944 3358 4672 5888 6716 9344 13432 18688 26864 53728 107456 214912 266401 429824 532802 1065604 2131208 4262416 6127223 8524832 12254446 17049664 19447273 24508892 34099328 38894546 49017784 68198656 77789092 98035568 155578184 196071136 311156368 392142272 447287279 622312736 784284544 894574558 1244625472 1568569088 1789149116 2489250944 3578298232 4978501888 7156596464 14313192928 28626385856 57252771712 114505543424